This page shows questions in the Alg II Reasoning with Equations and Inequalities public release module at MSDE. Algebra 2
"Alg II Reasoning with Equations and Inequalities"

What are the solutions of the equation $\frac{x}{x+6}=\frac{2x-3}{x+12}\text{?}$

Select all that apply.

The functions $f$ and $g$ are defined as shown.

$$f\left(x\right)=x^3+x^2-2x$$

$$g\left(x\right)=0.5x^2+1$$

The values of $x$ for which $f\left(x\right)=g\left(x\right)$ lie in which of the intervals shown?

Select all that apply.

An equation is shown.

$\sqrt{x^2+19}-100=0$

What are the solutions of the equation?

Consider the system of equations shown.System of equations. Top row, y equals open parenthesis x minus 3 close parenthesis squared. Bottom row, y equals x minus 1.

$$ \begin{cases} y = (x-3)^2 \\ y = x-1 \end{cases} $$

On the coordinate plane, plot the points that represent solutions coordinates x, y \( (x, y) \) of the system.

Select the places on the coordinate plane to plot the points.